A circle touches the side BC of ΔABC at D and AB and AC are produced to E and F, respectively. If AB = 10 cm, AC = 8.6 cm and BC = 6.4 cm, then BE = ?
A. 2.2 cm
B. 3.2 cm
C. 3.5 cm
D. 2.5 cm
Answer: Option D
Solution (By Examveda Team)
10 + x = 8.6 + y (AE = AF)
x - y = -1.4 . . . . . . (i)
x + y = 6.4 . . . . . . (ii)
2x = 5.0
x = 2.5
BE = 2.5
This Question Belongs to Arithmetic Ability >> Geometry
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